Solution:

Given: Product of two rational numbers = -28/81
One of the rational numbers = -2/3
Let the other rational number be x.
So, the product of the two rational numbers can be represented as:
(-2/3) * x = -28/81

Find the other rational number:
To find the value of x, we can solve the equation by multiplying both sides by 3 to get rid of the denominator:
-2 * x = -28/81 * 3
-2x = -84/81
x = 42/81
x = 14/27

Therefore, the other rational number is 14/27.

Explanation:
When multiplying two rational numbers, we can use the given information to set up an equation and solve for the unknown value. In this case, we know the product of the two rational numbers and one of the numbers, which allows us to find the other number by setting up and solving an equation.
By following the steps mentioned above, we were able to determine that the other rational number is 14/27. This process demonstrates how to solve for an unknown rational number when given the product of two rational numbers and one of the numbers.
This method can be applied to similar problems involving the multiplication of rational numbers to find unknown values efficiently and accurately.